The estimates in this publication are based on information gained from the occupants of a sample survey of dwellings. Because the entire population is not surveyed, the published estimates are subject to sampling error. The most common way of quantifying such sampling error is to calculate the standard error for the published estimate or statistic. For more information, see paragraph 23 of the Explanatory Notes.

LEVEL ESTIMATES

To illustrate, let us say the published level estimate for employed persons aged 15-19 years is 700,000 and the associated standard error is 8,300. The standard error is then used to interpret the level estimate of 700,000. For instance, the standard error of 8,300 indicates that:

There are approximately two chances in three that the real value falls within the range 691,700 to 708,300 (700,000 + or - 8,300)

There are approximately nineteen chances in twenty that the real value falls within the range 683,400 to 716,600 (700,000 + or - 16,600).

The real value in this case is the result we would obtain if we could enumerate the total population.

The following table shows the standard errors for this month's level estimates.

AUSTRALIA

NSW

Vic.

Qld

SA

WA

Tas.

NT

ACT

Males

Females

Persons

Aged 15 years and over

Employed

Full time

'000

19.4

19.1

13.7

6.3

8.5

2.7

4.1

2.1

24.4

17.3

29.5

Part time

'000

12.9

11.4

8.6

4.4

5.6

1.7

1.3

1.3

9.4

14.9

18.3

Total

'000

21.2

22.9

15.5

7.2

9.3

3.0

4.9

2.3

26.3

23.8

33.2

Unemployed

Looking for f/t work

'000

7.4

5.4

4.8

2.3

2.2

1.1

0.6

0.6

7.5

6.8

10.2

Looking for p/t work

'000

4.6

4.4

3.0

1.8

1.8

0.6

0.6

0.5

4.2

5.7

7.2

Total

'000

8.8

7.1

5.6

2.8

2.9

1.2

1.0

0.8

8.6

8.9

12.6

Labour force

'000

21.4

23.5

15.8

7.3

9.4

3.1

5.1

2.3

26.8

24.5

33.7

Not in labour force

'000

19.8

21.1

13.6

6.5

8.9

3.0

4.1

2.1

21.7

26.2

30.9

Unemployment rate

Looking for f/t work

pts

0.3

0.3

0.3

0.4

0.3

0.6

0.7

0.4

0.1

0.2

0.1

Looking for p/t work

pts

0.5

0.5

0.5

0.7

0.6

0.9

2.4

1.1

0.5

0.3

0.2

Total

pts

0.2

0.3

0.2

0.3

0.2

0.5

0.8

0.4

0.1

0.2

0.1

Participation rate

pts

0.4

0.6

0.5

0.6

0.6

0.8

3.2

0.8

0.3

0.3

0.2

Aged 15-19 years

Employed

Full time

'000

3.6

2.7

2.7

1.1

1.8

0.6

0.4

0.4

4.7

3.6

5.5

Part time

'000

4.3

3.8

3.4

1.5

1.9

0.6

0.4

0.5

4.9

5.5

7.0

Total

'000

5.5

4.6

4.3

1.8

2.6

0.8

0.6

0.7

6.4

6.2

8.8

Unemployed

Looking for f/t work

'000

2.9

1.9

2.0

1.0

0.9

0.4

0.3

0.2

3.0

2.8

4.2

Looking for p/t work

'000

2.7

2.6

1.8

1.0

0.9

0.4

0.2

0.4

2.9

3.1

4.3

Total

'000

4.1

3.2

2.8

1.5

1.3

0.6

0.4

0.4

4.2

4.2

6.0

Labour force

'000

6.0

5.0

4.7

2.0

2.7

0.9

0.6

0.7

6.8

6.7

9.4

Not in labour force

'000

7.3

5.7

4.1

2.2

2.9

0.9

0.9

0.8

7.1

6.9

10.1

Unemployment rate

Looking for f/t work

pts

2.6

3.0

2.4

4.1

2.0

4.2

7.4

3.8

1.4

2.2

1.2

Looking for p/t work

pts

1.7

1.8

1.5

2.5

1.7

3.8

5.4

4.1

1.2

1.0

0.8

Total

pts

1.5

1.6

1.3

2.2

1.3

2.8

4.7

2.9

0.9

1.0

0.7

Participation rate

pts

1.3

1.4

1.6

1.9

1.8

2.6

4.2

3.0

0.9

0.9

0.7

Unemployment to population ratio - looking for f/t work

pts

0.6

0.5

0.7

1.0

0.6

1.2

2.2

0.9

0.4

0.4

0.3

MOVEMENT ESTIMATES

The following example illustrates how to use the standard error to interpret a movement estimate. Let us say that one month the published level estimate for females employed part-time in Australia is 1,890,000; the next month the published level estimate is 1,900,000 and the associated standard error for the movement estimate is 9,500. The standard error is then used to interpret the published movement estimate of 10,000. For instance, the standard error of 9,500 indicates that:

There are approximately two chances in three that the real movement between the two months falls within the range 500 to 19,500 (10,000 + or - 9,500)

There are approximately nineteen chances in twenty that the real movement falls within the range -9,000 to 29,000 (10,000 + or - 19,000).

The following table shows the standard errors for this month's movement estimates.